When it comes to identifying synonyms for the phrase "chase down," there are multiple options available that can be used interchangeably, depending on the context. Some popular options include pursuing, tracking, following, hunting, dogging, shadowing, and trailing. These synonyms work well in different contexts, from chasing down a criminal to tracking down a lost pet. They all convey the idea of actively seeking and pursuing something or someone. Each synonym has its own nuances and connotations that can affect how they are used and interpreted, making it essential to choose the right one for the intended meaning. By utilizing these synonyms effectively, you can give your language more depth and variety.